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Beliebt Geometry >

x^2-y^2-4x+8y-21=0

Lösung

x^{2} - y^{2} - 4 x + 8 y - 21 = 0

Lösung

(h, k) = (2, 4), a = 3, b = 3

Schritte zur Lösung

x^{2} - y^{2} - 4 x + 8 y - 21 = 0

Rewrite

x^{2} - y^{2} - 4 x + 8 y - 21 = 0

in the form of a standard hyperbola equation

\frac{( x - 2 ) ^{2}}{3 ^{2}} - \frac{( y - 4 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 4), a = 3, b = 3

Graph

Beliebte Beispiele

x^2-3y^2-2x-6y+7=0

x^{2} - 3 y^{2} - 2 x - 6 y + 7 = 0

(x^2)/4-(y^2)/1 =1

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x^{2} - \frac{y ^{2}}{9} = 1

4x^2-9(y+1)^2=36

4 x^{2} - 9 (y + 1)^{2} = 36

((x-1)^2)/9-((y-2)^2)/(16)=1

\frac{( x - 1 ) ^{2}}{9} - \frac{( y - 2 ) ^{2}}{16} = 1